AoPS

MATHEMATICS · Multi-part · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let

p(x)=\lfloor |x-1| \rfloor + \operatorname{sgn}(x+2)

. (i) Find

p(-2)

. (ii) Find

p(0.3)

. (iii) Find

p(2.8)

. (iv) Hence calculate

p(-2)+p(0.3)+p(2.8)

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